1290961216800 has 864 divisors, whose sum is σ = 5030385534720. Its totient is φ = 322131686400.

The previous prime is 1290961216759. The next prime is 1290961216801. The reversal of 1290961216800 is 86121690921.

1290961216800 is a `hidden beast` number, since 1 + 29 + 0 + 9 + 612 + 1 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1290961216801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 306566695 + ... + 306570905.

It is an arithmetic number, because the mean of its divisors is an integer number (5822205480).

Almost surely, 2^{1290961216800} is an apocalyptic number.

1290961216800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1290961216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515192767360).

1290961216800 is an abundant number, since it is smaller than the sum of its proper divisors (3739424317920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1290961216800 is a wasteful number, since it uses less digits than its factorization.

1290961216800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4348 (or 4323 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 1290961216800 in words is "one trillion, two hundred ninety billion, nine hundred sixty-one million, two hundred sixteen thousand, eight hundred".